128467052352 has 280 divisors, whose sum is σ = 411705287840. Its totient is φ = 39470976000.

The previous prime is 128467052347. The next prime is 128467052401. The reversal of 128467052352 is 253250764821.

128467052352 is a `hidden beast` number, since 1 + 2 + 8 + 4 + 6 + 70 + 523 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 128467052298 and 128467052307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3626727 + ... + 3661977.

It is an arithmetic number, because the mean of its divisors is an integer number (1470376028).

Almost surely, 2^128467052352 is an apocalyptic number.

128467052352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128467052352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205852643920).

128467052352 is an abundant number, since it is smaller than the sum of its proper divisors (283238235488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

128467052352 is a wasteful number, since it uses less digits than its factorization.

128467052352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35331 (or 35312 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 128467052352 in words is "one hundred twenty-eight billion, four hundred sixty-seven million, fifty-two thousand, three hundred fifty-two".